Regular variation and differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2000
|
| Series: | Lecture notes in mathematics
1726 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 127 S. |
| ISBN: | 3540671609 |
Staff View
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| 100 | 1 | |a Marić, Vojislav |d 1930- |e Verfasser |0 (DE-588)12176687X |4 aut | |
| 245 | 1 | 0 | |a Regular variation and differential equations |c Vojislav Marić |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a X, 127 S. | ||
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Record in the Search Index
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| adam_text | Contents
Introduction 1
Part One. Linear Equations 9
Chapter 1. Existence of regular solutions 9
1.1. Preliminaries 9
1.2. The case f(x) 0 12
1.3. n~ a°d F varying solutions 21
1.4. The case of f(x) of arbitrary sign 26
1.5. Regular boundedness of solutions 40
1.6. Generalizations 41
1.7. Examples 44
1.8. Comments 46
Chapter 2. Asymptotic behavior of regular solutions 49
2.1. Slowly varying solutions 49
2.1. a) The case of /(x) of arbitrary sign 49
2.1. b) The case/(x) 0 51
2.2. Regularly varying solutions 57
2.3. On zeros of oscillating solutions 62
2.4. Examples 65
2.5. Comments 70
X
Part Two. Nonlinear Equations 71
Chapter 3. Equations of Thomas Fermi type 71
3.1. Introduction and preliminaries 71
3.2. The case of regularly varying / and j 75
3.3. Examples 89
3.4. The case of rapidly varying / or f 90
3.5. Examples 99
3.6. A more general case 102
Chapter 4. An equation arising in boundary layer
Theory 105
4.1. Introduction 105
4.2. Existence and uniqueness 106
4.3. Estimates and asymptotic behavior of solutions 109
4.4. Comments 114
Appendix. Properties of Regularly Varying and
Related Functions 115
References 119
Index 125
|
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| isbn | 3540671609 |
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| spelling | Marić, Vojislav 1930- Verfasser (DE-588)12176687X aut Regular variation and differential equations Vojislav Marić Berlin [u.a.] Springer 2000 X, 127 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1726 Gewöhnliche Differentialgleichung - Reguläres Variationsproblem Differential equations Asymptotic theory Variational principles Nullstelle (DE-588)4140515-8 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Differentialgleichung (DE-588)4012249-9 s Approximation (DE-588)4002498-2 s Asymptotik (DE-588)4126634-1 s Randwertproblem (DE-588)4048395-2 s Nullstelle (DE-588)4140515-8 s DE-604 Lecture notes in mathematics 1726 (DE-604)BV000676446 1726 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008883082&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marić, Vojislav 1930- Regular variation and differential equations Lecture notes in mathematics Gewöhnliche Differentialgleichung - Reguläres Variationsproblem Differential equations Asymptotic theory Variational principles Nullstelle (DE-588)4140515-8 gnd Asymptotik (DE-588)4126634-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Approximation (DE-588)4002498-2 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4140515-8 (DE-588)4126634-1 (DE-588)4012249-9 (DE-588)4002498-2 (DE-588)4048395-2 (DE-588)4113937-9 |
| title | Regular variation and differential equations |
| title_auth | Regular variation and differential equations |
| title_exact_search | Regular variation and differential equations |
| title_full | Regular variation and differential equations Vojislav Marić |
| title_fullStr | Regular variation and differential equations Vojislav Marić |
| title_full_unstemmed | Regular variation and differential equations Vojislav Marić |
| title_short | Regular variation and differential equations |
| title_sort | regular variation and differential equations |
| topic | Gewöhnliche Differentialgleichung - Reguläres Variationsproblem Differential equations Asymptotic theory Variational principles Nullstelle (DE-588)4140515-8 gnd Asymptotik (DE-588)4126634-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Approximation (DE-588)4002498-2 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Gewöhnliche Differentialgleichung - Reguläres Variationsproblem Differential equations Asymptotic theory Variational principles Nullstelle Asymptotik Differentialgleichung Approximation Randwertproblem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008883082&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT maricvojislav regularvariationanddifferentialequations |